BASIC BIOMECHANICS
8th Edition
ISBN: 9781259913877
Author: Hall
Publisher: RENT MCG
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Chapter 11, Problem 4AP
A polo player’s arm and stick form a 2.5-m rigid segment. If the arm and stick are swung with an angular speed of 1.0 rad/s as the player’s horse gallops at 5 m/s, what is the resultant velocity of a motionless ball that is struck head-on? (Assume that ball velocity is the same as the linear velocity of the end of the stick.) (Answer: 7.5 m/s)
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When Galileo Galilei rolled a ball down an inclined plane, it traveled 1.0 meters in the first second, and a total of 4.0 meters in the first two seconds. What was its acceleration on this inclined plane?
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The “mean-speed theorem” for calculating average velocity under constant acceleration, developed by Thomas Bradwardine and the Mertonian Calculators at Oxford University, is expressed algebraically as:
density = weight/volume
(m1)(v1) = (m2)(v2)
C. (vm) = 1/2 (v0 + vf)
s = (v0)(t) + 1/2 (a)(t2)
velocity = distance/time
2. a) Label the system provided below, including the reference frame, moment arms and vector forces
with the information provided.
Internal moment arm = 4cm +0.04m
External moment arm relative
to the segment weight = 25cm 0.25m
External moment arm relative
to the load weight = 45cm 40.45m
Segment weight = 50 N
Load weight = 100 N
Lower leg segment angle relative
to horizontal plane = 45°
Quadriceps tendon angle = 45°
Axis of
rotation
MF
SW
LW
2b) Using the figure in 2a., calculate the external torque of the system relative to the normal
component of segment and load weights listed above.
2c) Calculate the amount of both the tangential component of the muscle force and the muscle force
itself required to keep this system in a state of static equilibrium.
Chapter 11 Solutions
BASIC BIOMECHANICS
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, bioengineering and related others by exploring similar questions and additional content below.Similar questions
- When Galileo Galilei pushed a ball down an inclined plane, it had an initial velocity (vo) of 4.0 meters per second (time = 0 seconds) and a final velocity (vf) of 10.0 meters per second (time = 2 seconds). How far did the ball travel along the inclined plane in these 2 seconds? 14 meters 20 meters 28 meters 40 meters 84 metersarrow_forwardUsing the above “mean-speed theorem”, calculate the average velocity of a car with constant acceleration from 0 km/hour (initial speed) to 80 km/hour (final speed) over a 5-minute period of time. average velocity over 5 minutes = 16 kilometers/hour average velocity over 5 minutes = 20 kilometers/hour average velocity over 5 minutes = 24 kilometers/hour average velocity over 5 minutes = 32 kilometers/hour average velocity over 5 minutes = 40 kilometers/hourarrow_forward72. Find J and K in the rotational system shown in Figure P4.18 to yield a 30% overshoot and a sett- ling time of 3 seconds for a step input in torque. [(Section: 4.6] 000 K FIGURE P4.18arrow_forward
- When Galileo Galilei rolled a ball down an inclined plane, it traveled 2 meters in the first second, and a total of 8 meters in the first two With vo = 0, what was its acceleration on this inclined plane? 0 meter per second2 0 meters per second2 0 meters per second2 0 meters per second2 0 meters per second2arrow_forwardA) Describe the difference between strength and power during a squat. Provide a quantitative example that illustrates the difference. B) During a squat, the weight you have on your shoulders has a certain amount of gravitational potential energy. As you squat down and come to a stop at the bottom of the squat, some of that energy is lost. Where does it go?arrow_forwardUsing the Michaelis-Mentan graph pictured (graphing initial velocity and PNPP concentration), identify Vmax and Km as well as possible. Then, using the Lineweaver-Burk graph (graphing 1/Vo and 1 / PNPP concentration), label the reciprocals of Vmax and Km on the graph and use them to calculate Km and Vmax.arrow_forward
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